You don’t need to install the 2022 program to transfer 2022 into 2023. You only need the tax data file ending in .tax2022. Copy that file to the new computer. It should be in your Documents in a Turbo Tax folder or search your computer for all files ending in .tax2022 or .tax.
Then just start a new 2023 return and it should look for the 2022 tax return and ask if you want to transfer it. If it doesn’t find 2022 you can browse to where you put it.